# Posteriors of SPDE hyper parameters and Matern correlation or covariance function. Calculate posterior distribution of the range, log(range), variance, or log(variance) parameter of a model's SPDE component. Can also plot Matern correlation or covariance function. `inla.spde.result`. ```r spde.posterior(result, name, what = "range") ``` ## Arguments - `result`: An object inheriting from `inla`. - `name`: Character stating the name of the SPDE effect, see `names(result$summary.random)`. - `what`: One of "range", "log.range", "variance", "log.variance", "matern.correlation" or "matern.covariance". ## Returns A `prediction` object. ## Examples ```r if (bru_safe_inla() && require(ggplot2, quietly = TRUE)) { # Load 1D Poisson process data data(Poisson2_1D, package = "inlabru") # Take a look at the point (and frequency) data ggplot(pts2) + geom_histogram(aes(x = x), binwidth = 55 / 20, boundary = 0, fill = NA, color = "black") + geom_point(aes(x), y = 0, pch = "|", cex = 4) + coord_fixed(ratio = 1) # Fit an LGCP model with and SPDE component x <- seq(0, 55, length.out = 20) mesh1D <- fm_mesh_1d(x, boundary = "free") mdl <- x ~ spde1D(x, model = INLA::inla.spde2.matern(mesh1D, constr = TRUE)) + Intercept(1) fit <- lgcp(mdl, data = pts2, domain = list(x = mesh1D)) # Calculate and plot the posterior range range <- spde.posterior(fit, "spde1D", "range") plot(range) # Calculate and plot the posterior log range lrange <- spde.posterior(fit, "spde1D", "log.range") plot(lrange) # Calculate and plot the posterior variance variance <- spde.posterior(fit, "spde1D", "variance") plot(variance) # Calculate and plot the posterior log variance lvariance <- spde.posterior(fit, "spde1D", "log.variance") plot(lvariance) # Calculate and plot the posterior Matern correlation matcor <- spde.posterior(fit, "spde1D", "matern.correlation") plot(matcor) # Calculate and plot the posterior Matern covariance matcov <- spde.posterior(fit, "spde1D", "matern.covariance") plot(matcov) } ``` ## Author(s) Finn Lindgren Finn.Lindgren@ed.ac.uk

spde.posterior function